%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : MGT077+1 : TPTP v9.3.0. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 04:48:26 PM UTC 2026
% Result : Theorem 0.28s 1.63s
% Output : CNFRefutation 0.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 21 ( 11 unt; 0 def)
% Number of atoms : 54 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 62 ( 29 ~; 23 |; 9 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 22 ( 0 sgn 8 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(odrl327,conjecture,
? [X1,X2] :
( less(v200,X1)
& in_open(X1,v0,v800)
& less(v100,X2)
& in_open(X2,v0,v500) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',odrl327) ).
fof(in_open,axiom,
! [X1,X4,X5] :
( in_open(X1,X4,X5)
<=> ( less(X4,X1)
& less(X1,X5) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT002+2.ax',in_open) ).
fof(ord_v100_v200,axiom,
less(v100,v200),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v100_v200) ).
fof(ord_v200_v500,axiom,
less(v200,v500),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v200_v500) ).
fof(ord_v0_v200,axiom,
less(v0,v200),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v0_v200) ).
fof(ord_v500_v800,axiom,
less(v500,v800),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v500_v800) ).
fof(ord_v0_v500,axiom,
less(v0,v500),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ord_v0_v500) ).
fof(c_0_7,negated_conjecture,
~ ? [X1,X2] :
( less(v200,X1)
& in_open(X1,v0,v800)
& less(v100,X2)
& in_open(X2,v0,v500) ),
inference(assume_negation,[status(cth)],[odrl327]) ).
fof(c_0_8,negated_conjecture,
! [X150,X151] :
( ~ less(v200,X150)
| ~ in_open(X150,v0,v800)
| ~ less(v100,X151)
| ~ in_open(X151,v0,v500) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])]) ).
fof(c_0_9,plain,
! [X108,X109,X110] :
( ( less(X109,X108)
| ~ in_open(X108,X109,X110) )
& ( less(X108,X110)
| ~ in_open(X108,X109,X110) )
& ( ~ less(X109,X108)
| ~ less(X108,X110)
| in_open(X108,X109,X110) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[in_open])])]) ).
cnf(c_0_10,negated_conjecture,
( ~ less(v200,X1)
| ~ in_open(X1,v0,v800)
| ~ less(v100,X2)
| ~ in_open(X2,v0,v500) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_11,plain,
( in_open(X2,X1,X3)
| ~ less(X1,X2)
| ~ less(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_12,negated_conjecture,
( ~ in_open(X1,v0,v800)
| ~ less(v100,X2)
| ~ less(v200,X1)
| ~ less(X2,v500)
| ~ less(v0,X2) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_13,negated_conjecture,
( ~ less(v100,X1)
| ~ less(v200,X2)
| ~ less(X1,v500)
| ~ less(v0,X1)
| ~ less(X2,v800)
| ~ less(v0,X2) ),
inference(spm,[status(thm)],[c_0_12,c_0_11]) ).
cnf(c_0_14,plain,
less(v100,v200),
inference(split_conjunct,[status(thm)],[ord_v100_v200]) ).
cnf(c_0_15,plain,
less(v200,v500),
inference(split_conjunct,[status(thm)],[ord_v200_v500]) ).
cnf(c_0_16,plain,
less(v0,v200),
inference(split_conjunct,[status(thm)],[ord_v0_v200]) ).
cnf(c_0_17,negated_conjecture,
( ~ less(v200,X1)
| ~ less(X1,v800)
| ~ less(v0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15]),c_0_16])]) ).
cnf(c_0_18,plain,
less(v500,v800),
inference(split_conjunct,[status(thm)],[ord_v500_v800]) ).
cnf(c_0_19,plain,
less(v0,v500),
inference(split_conjunct,[status(thm)],[ord_v0_v500]) ).
cnf(c_0_20,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_15]),c_0_18]),c_0_19])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : MGT077+1 : TPTP v9.3.0. Released v9.3.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33 % Computer : n009.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Mon May 4 23:32:11 EDT 2026
% 0.15/0.34 % CPUTime :
% 0.15/0.35 % start to proof: theBenchmark
% 0.28/1.63 % Version : CSE_E---1.7
% 0.28/1.63 % Problem : theBenchmark.p
% 0.28/1.63 % SZS status Theorem for theBenchmark.p
% 0.28/1.63 % SZS output start CNFRefutation
% See solution above
% 0.28/1.63 % Total time : 1.271s
%------------------------------------------------------------------------------